Lucile Vandembroucq (6/28/17) Bedlewo: Topological complexity of the Klein bottle

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Dranishnikov has recently established that Farber’s topological complexity
of the non-orientable surfaces of genus at least 4 is maximal. In this talk,
we will determine the topological complexity of the Klein bottle and extend
Dranishnikov’s result to all the non-orientable surfaces of genus at least 2.
This is a work in collaboration with Daniel C. Cohen.
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Surface(cos(u/2)cos(v/2), cos(u/2)sin (v/2), sin(u)/2) 0>u>4π 0>v>2π
"Shirley's Surface"
Klein bottle or not ?

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